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Finding the Fourth Proportional to 113,466.40, 171,049.24 and 105,854.56

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Solution

The fourth proportional to 113,466.40, 171,049.24 and 105,854.56 is: 159,574.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,466.40 : 171,049.24 = 105,854.56 : x
  2. Step 2: Convert to fraction form
    113,466.40/171,049.24 = 105,854.56/x
  3. Step 3: Cross multiply
    113,466.40x = 171,049.24 × 105,854.56
  4. Step 4: Simplify right side
    113,466.40x = 18,106,342,038.53
  5. Step 5: Solve for x
    x = 18,106,342,038.53/113,466.40
  6. Step 6: Final answer
    x = 159,574.48

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.